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Finding the Fourth Proportional to 13,385.71, 20,079.51 and 5,380.48

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Solution

The fourth proportional to 13,385.71, 20,079.51 and 5,380.48 is: 8,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.71 : 20,079.51 = 5,380.48 : x
  2. Step 2: Convert to fraction form
    13,385.71/20,079.51 = 5,380.48/x
  3. Step 3: Cross multiply
    13,385.71x = 20,079.51 × 5,380.48
  4. Step 4: Simplify right side
    13,385.71x = 108,037,406.89
  5. Step 5: Solve for x
    x = 108,037,406.89/13,385.71
  6. Step 6: Final answer
    x = 8,071.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.